Search a number
-
+
1011010222002 = 2311236719795023
BaseRepresentation
bin11101011011001001110…
…01111011011110110010
310120122121001002122200010
432231210321323132302
5113031022104101002
62052241321435350
7133020530044434
oct16554471733662
93518531078603
101011010222002
1135a848a05720
12143b3533bb56
1374451361ac1
1436d0c818654
151b47317446c
hexeb64e7b7b2

1011010222002 has 128 divisors (see below), whose sum is σ = 2337746780160. Its totient is φ = 288469304640.

The previous prime is 1011010221983. The next prime is 1011010222007. The reversal of 1011010222002 is 2002220101101.

It is not an unprimeable number, because it can be changed into a prime (1011010222007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 201273663 + ... + 201278685.

It is an arithmetic number, because the mean of its divisors is an integer number (18263646720).

Almost surely, 21011010222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011010222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168873390080).

1011010222002 is an abundant number, since it is smaller than the sum of its proper divisors (1326736558158).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011010222002 is a wasteful number, since it uses less digits than its factorization.

1011010222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7108.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1011010222002 its reverse (2002220101101), we get a palindrome (3013230323103).

The spelling of 1011010222002 in words is "one trillion, eleven billion, ten million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 11 22 23 33 46 66 67 69 134 138 201 253 402 506 737 759 1474 1518 1541 1979 2211 3082 3958 4422 4623 5023 5937 9246 10046 11874 15069 16951 21769 30138 33902 43538 45517 50853 55253 65307 91034 101706 110506 115529 130614 132593 136551 165759 231058 265186 273102 331518 336541 346587 397779 500687 673082 693174 795558 1001374 1009623 1270819 1458523 1502061 2019246 2541638 2917046 3004122 3049639 3701951 3812457 4375569 6099278 7403902 7624914 7740443 8751138 9148917 9940517 11105853 15480886 18297834 19881034 22211706 23221329 29821551 33546029 46442658 59643102 67092058 85144873 100638087 109345687 170289746 201276174 218691374 228631891 255434619 328037061 457263782 510869238 656074122 666014639 685895673 1332029278 1371791346 1998043917 2514950801 3996087834 5029901602 7326161029 7544852403 14652322058 15089704806 15318336697 21978483087 30636673394 43956966174 45955010091 91910020182 168501703667 337003407334 505505111001 1011010222002